Greatest Common Factor of 6735/525, 1372/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6735/525, 1372/240

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 6735/525,1372/240

Given fractions are 6735/525,1372/240

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 6735,1372

Greatest Common Factor of Numerators i.e. GCF of 6735,1372 is 1 .

LCM of Denominators means LCM of 525,240 as per the given fractions.

LCM of 525,240 is 8400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6735,1372

GCF of Fractions 6735/525,1372/240 is 1/8400

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6735,1372 By Matching Biggest Common Factor Method

Greatest Common Factor of 6735,1372 By Matching Biggest Common Factor Method

Factors of 6735

List of positive integer factors of 6735 that divides 6735 without a remainder.

1,3,5,15,449,1347,2245,6735

Factors of 1372

List of positive integer factors of 1372 that divides 1372 without a remainder.

1,2,4,7,14,28,49,98,196,343,686,1372

Greatest Common Factor

We found the factors 6735,1372 . The biggest common factor number is the GCF number.
So the greatest common factor 6735,1372 is 1.

Lets's calculate LCM of 525,240

3 525, 240
5 175, 80
35, 16

∴ So the LCM of the given numbers is 3 x 5 x 35 x 16 = 8400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8400

Therefore, the GCF of Fractions 6735/525,1372/240 is 1/8400

Least Common Multiple of 525,240 with GCF Formula

Least Common Multiple of 525,240 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 525,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(525,240) = 15

common factors(in case of two or more numbers have common factors) = 1

GCF(525,240) x common factors =15 x 1 = 15

LCM(525,240) = ( 525 × 240 ) / 15

LCM(525,240) = 126000 / 15

LCM(525,240) = 8400


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 6735/525, 1372/240

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 6735/525, 1372/240?

Answer: GCF of Numerators as per given numbers 6735/525, 1372/240 is

GCF of Numerators i.e. for 6735,1372 is 1

LCM of denominators i.e. for 525,240 is 8400.

Thus, GCF of Fractions is 1/8400.Finally, GCF of Fractions for 6735/525, 1372/240 is 1/8400.